Question

Imagine that you are asked to use the elimination method to solve the system of linear equations below. If you wanted to eliminate the x-variable, what should your next step be?

5x - 2y = 12
4x - 7y = 8

A. Multiply the top equation by 2 and the bottom equation by -7.
B. Multiply the top equation by -4 and the bottom equation by 5.
C. Multiply the top equation by 7 and the bottom equation by -2.
D. Multiply the top equation by 5 and the bottom equation by -4.

Answer 1

@ShadowLegendX

Answer 2

In order for the X terms to be the same and positive in one and negative in the other, what do you multiply the top and bottom by?

Answer 3

on is 5 the other is 4, so the easiest thing to do is multiply top by -4 and bottom by +5
now both are 20, but one is negative so that you can "eliminate" them

Answer 4

Thanks, for all the help!!

Answer 5

@JuanitaM is correct.

Answer 6

Ok sweet!